English

Ball-preserving mappings of finite ultrametric spaces

Metric Geometry 2013-02-26 v1

Abstract

It is shown that the rooted trees TXT_X and TYT_Y representing finite ultrametric spaces XX and YY are isomorphic if and only if there exists a ball-preserving bijection F:XYF:X\to Y.

Keywords

Cite

@article{arxiv.1302.5896,
  title  = {Ball-preserving mappings of finite ultrametric spaces},
  author = {E. Petrov},
  journal= {arXiv preprint arXiv:1302.5896},
  year   = {2013}
}

Comments

10 pages, in Russian